What is the Greatest Common Factor of 85856 and 85868?

Greatest common factor (GCF) of 85856 and 85868 is 4.

GCF(85856,85868) = 4

We will now calculate the prime factors of 85856 and 85868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85856 and 85868.

How to find the GCF of 85856 and 85868?

We will first find the prime factorization of 85856 and 85868. After we will calculate the factors of 85856 and 85868 and find the biggest common factor number .

Step-1: Prime Factorization of 85856

Prime factors of 85856 are 2, 2683. Prime factorization of 85856 in exponential form is:

85856 = 2⁵ × 2683¹

Step-2: Prime Factorization of 85868

Prime factors of 85868 are 2, 21467. Prime factorization of 85868 in exponential form is:

85868 = 2² × 21467¹

Step-3: Factors of 85856

List of positive integer factors of 85856 that divides 85856 without a remainder.

1, 2, 4, 8, 16, 32, 2683, 5366, 10732, 21464, 42928

Step-4: Factors of 85868

List of positive integer factors of 85868 that divides 85856 without a remainder.

1, 2, 4, 21467, 42934

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85856 and 85868. The biggest common factor number is the GCF number.
So the greatest common factor 85856 and 85868 is 4.

Also check out the Least Common Multiple of 85856 and 85868